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Simplify the following expressions:(i)`(11+sqrt(11))(11-sqrt(11))`(ii) `(5+sqrt(7))(5-sqrt(7))`(iii)`(sqrt(8)-sqrt(2))(sqrt(8)+sqrt(2))`(iiii)`(sqrt(7)-3)(sqrt(7)+3)` |
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Answer» 1)`(11+sqrt11)(11-sqrt11)` `11^2-(sqrt11)^2` `121-11=110` 2)`(5+sqrt7)(5-sqrt7)` `5^2-(sqrt7)^2=25-7=18` 3)`(sqrt8-sqrt2)(sqrt8+sqrt2)` `sqrt8^2-sqrt2^2=8-2=6` 4)`(sqrt7-3)(sqrt7+3)` `sqrt7^2-3^2=7-9=-2`. |
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